Similarity solutions for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption

Chamkha, Ali J.; Khaled, A.-R. A.

doi:10.1007/s002310000131

Cited by 128 publications

(70 citation statements)

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“…Equations (5)- (7) are linear partial differential equations and are to be solved with the initial and boundary conditions (8). In fact the exact solution is not possible for this set of equations and hence we solve these equations by finite-difference method.…”

Section: Methods Of Solutionmentioning

confidence: 99%

Radiation Effect on Unsteady MHD Free Convective Heat and Mass Transfer Flow with Variable Temperature and Concentration

2017

JCBSC

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A theoretical study has been performed on diffusion thermo and thermo diffusion effects on unsteady MHD natural convection heat and mass transfer flow past an accelerated vertical plate in the presence of thermal radiation, variable temperature and also variable concentration. The non-dimensional governing equations are solved numerically by using finite difference scheme. The effects of different physical parameters on velocity, temperature and concentration are presented and discussed with the help of graphs. Also the numerical values for local skin friction, Nusselt number and Sherwood number are recorded and analyzed. Increasing values of Soret number results in rising of the concentration, but it falls down under the influence of Dufour number and Schmidt number. Skin friction decreases for increasing values of both Soret and Dufour numbers.

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Section: Methods Of Solutionmentioning

confidence: 99%

Radiation Effect on Unsteady MHD Free Convective Heat and Mass Transfer Flow with Variable Temperature and Concentration

2017

JCBSC

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“…Thus, the studies involving heat sources/sinks have become a central point of attraction for the researchers interested in investigating fluid dynamic problems. The effect of heat generation/absorption on the hydromagnetic flow and heat transfer along a semi-infinite flat plate in a saturated porous medium was examined by Chamkha and Khaled [10]. They considered two different cases viz.…”

Section: Introductionmentioning

confidence: 99%

“…uniform heat flux and uniform wall temperature at the plate. The similarity solution for steady state problem of free convection hydromagnetic liquid flow from an oblique plate was obtained by Chamkha and Khaled [10]. The transient convective heat and mass transfer flow towards a vertical surface under the influence of an external magnetic field and heat generation/absorption was analytically investigated by Kamel [11].…”

Section: Introductionmentioning

confidence: 99%

Effect of Chemical Reaction and Heat Absorption on MHD Nanoliquid Flow Past a Stretching Sheet in the Presence of a Transverse Magnetic Field

et al. 2018

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Abstract:In this paper, authors investigate homogeneous-heterogeneous chemical reaction and heat absorption effects on a two-dimensional steady hydromagnetic Newtonian nanoliquid flow along a continuously stretching sheet. The flow field is subjected to a uniform magnetic field acting in a direction perpendicular to the direction of nanoliquid flow. A mathematical model of the physical problem is presented involving nonlinear partial differential equations with appropriate boundary conditions. These equations are then transformed into nonlinear ordinary differential equations using a suitable similarity transformation. Finally, approximate solutions of the transformed equations are obtained using the spectral quasi-linearization method. Results of fluid velocity, fluid temperature, and species concentration are depicted graphically, while the values of skin friction and Nusselt number are presented in tabular form. Fluid flow models of this kind find applications in catalytic reactors involving chemical reactions, insulation systems, and in heat exchangers. The applied magnetic field has a retarding influence on the nanofluid velocity and species concentration, while it does not have any significant effect on the nanofluid temperature. The homogeneous and heterogeneous reactions tend to decrease the species concentration.

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“…Khaled [4] investigated the problem of coupled heat and mass transfer by magneto hydrodynamic free convection from an inclined plate in the presence of internal heat generation or absorption.…”

Section: Introductionmentioning

confidence: 99%

Effects of Dufour and Soret on Unsteady MHD Heat and Mass Transfer Flow Past a Semi-Infinite Moving Vertical Plate in a Porous Medium with Viscous Dissipation

Rajashekar¹

2014

IJAPM

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Abstract-This paper investigates the Dufour and Soret effects on unsteady MHD free convection flow past a semi-infinite moving vertical plate in a porous medium considering the viscous dissipation effects. The resulting governing equations are transformed into non linear ordinary differential equations using similarity transformation. The set of non linear ordinary differential equations are first linearized by using Quasi-linearization technique and then solved numerically by using implicit finite difference scheme. Then the system of algebraic equations is solved by using Gauss-Seidal iterative method. The solution is found to be mainly dependent on six governing parameters including the magnetic field parameter M, the suction parameter v0, Soret number Sr, Dufour number Du, Eckert number Ec, and Darcian parameter Da. Numerical results are tabulated for the local Nusselt number and Sherwood number. Velocity, Temperature and Concentration profiles drawn for different controlling parameters reveal the tendency of the solution.Index Terms-Magnetic field effects, Soret and Dufour effects, suction, viscous dissipation. I. INTRODUCTIONCombined heat and mass transfer (or double-diffusion) in fluid-saturated porous media finds applications in a variety of engineering processes such as heat exchanger devices, petroleum reservoirs, chemical catalytic reactors and processes, geothermal and geophysical engineering moisture migration in a fibrous insulation and nuclear waste disposal and others. Double diffusive flow is driven by buoyancy due to temperature and concentration gradients. Bejan and Khair [1] investigated the free convection boundary layer flow in a porous medium owing to combined heat and mass transfer.Magneto hydrodynamic flows have applications in meteorology, solar physics, cosmic fluid dynamics, astrophysics, geophysics and in the motion of earth"s core. In addition from the technological point of view, MHD free convection flows have significant applications in the field of stellar and planetary magnetospheres, aeronautical plasma flows, chemical engineering and electronics.Raptis [2] studied mathematically the case of time varying two dimensional natural convective flow of an incompressible, electrically conducting fluid along an infinite vertical porous plate embedded in a porous medium. Elabashbeshy [3] studied heat and mass transfer along a vertical plate in the presence of magnetic field. Chamkha and Manuscript received November 9, 2013; revised January 17, 2014. M. N. Raja Shekar is with the JNTUH College of Engineering Jagityal, Nachupally, Karimnagar-505 501, Andhra Pradesh, India (e-mail: mnrs71@ gmail.com). Khaled [4] investigated the problem of coupled heat and mass transfer by magneto hydrodynamic free convection from an inclined plate in the presence of internal heat generation or absorption.In the combined heat and mass transfer processes, it is known that the thermal energy flux resulting from concentration gradients is referred to as the Dufour or diffusion-thermal effect. Similarly, th...

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Similarity solutions for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption

Cited by 128 publications

References 0 publications

Radiation Effect on Unsteady MHD Free Convective Heat and Mass Transfer Flow with Variable Temperature and Concentration

Radiation Effect on Unsteady MHD Free Convective Heat and Mass Transfer Flow with Variable Temperature and Concentration

Effect of Chemical Reaction and Heat Absorption on MHD Nanoliquid Flow Past a Stretching Sheet in the Presence of a Transverse Magnetic Field

Effects of Dufour and Soret on Unsteady MHD Heat and Mass Transfer Flow Past a Semi-Infinite Moving Vertical Plate in a Porous Medium with Viscous Dissipation

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